1/N Effects in Non-Relativistic Gauge-Gravity Duality

Abstract

We argue that higher-curvature terms in the gravitational Lagrangian lead, via non-relativistic gauge-gravity duality, to finite renormalization of the dynamical exponent of the dual conformal field theory. Our argument includes a proof of the non-renormalization of the Schrodinger and Lifshitz metrics beyond rescalings of their parameters, directly generalizing the AdS case. We use this effect to construct string-theory duals of non-relativistic critical systems with non-integer dynamical exponents, then use these duals to predict the viscosity/entropy ratios of these systems. The predicted values weakly violate the KSS bound.

26 pages, latex

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• Holographic stress tensor for non-relativistic theories
• An analytic Lifshitz black hole
• On the new massive gravity and AdS/CFT
• A Lifshitz Black Hole in Four Dimensional R^2 Gravity
• Lifshitz spacetimes from AdS null and cosmological solutions
• Analytic Lifshitz black holes in higher dimensions
• Quantum critical lines in holographic phases with (un)broken symmetry
• A boundary stress tensor for higher-derivative gravity in AdS and Lifshitz backgrounds
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• Five Easy Pieces: The Dynamics of Quarks in Strongly Coupled Plasmas
• Holographic Models for Theories with Hyperscaling Violation
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• Thermal behavior of charged dilatonic black branes in AdS and UV completions of Lifshitz-like geometries
• Anomalous Breaking of Anisotropic Scaling Symmetry in the Quantum Lifshitz Model
• On AdS/CFT of Galilean Conformal Field Theories
• Hamilton-Jacobi Renormalization for Lifshitz Spacetime
• Lifshitz Singularities
• Correlation functions in the non-relativistic AdS/CFT correspondence
• STU/QCD Correspondence
• Non-Relativistic M2-brane Gauge Theory and New Superconformal Algebra
• Schrödinger Holography with and without Hyperscaling Violation
• On the Null Energy Condition and Causality in Lifshitz Holography
• Asymptotically Lifshitz wormholes and black holes for Lovelock gravity in vacuum
• Intertwining Operator Realization of Non-Relativistic Holography
• Geometry of Schroedinger Space-Times, Global Coordinates, and Harmonic Trapping
• Super Galilean conformal algebra in AdS/CFT
• Lifshitz-like black brane thermodynamics in higher dimensions
• Branes at Quantum Criticality
• New Massive Gravity and AdS_4 counterterms
• The lower bound violation of shear viscosity to entropy ratio due to logarithmic correction in STU model
• On higher derivative gravity, c-theorems and cosmology
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• Static solutions with nontrivial boundaries for the Einstein-Gauss-Bonnet theory in vacuum
• Near-Horizon Analysis of $\eta /s$
• Deformations of Lifshitz holography
• Hydrodynamics with conserved current via AdS/CFT correspondence in the Maxwell-Gauss-Bonnet gravity
• Generating Temperature Flow for eta/s with Higher Derivatives: From Lifshitz to AdS
• Universality and exactness of Schrodinger geometries in string and M-theory
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• New (p+1) Dimensional Non-relativistic Theories from Euclidean Stable and Unstable Dp-Branes
• Non-relativistic M-Theory solutions based on Kaehler-Einstein spaces
• The first order hydrodynamics via AdS/CFT correspondence in the Gauss-Bonnet gravity
• Towards the uniqueness of Lifshitz black holes and solitons in New Massive Gravity
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• Non-relativistic D3-brane in the presence of higher derivative corrections
• Deeper discussion of Schrödinger invariant and Logarithmic sectors of higher-curvature gravity
• Hyperscaling violation : a unified frame for effective holographic theories
• Asymptotically Lifshitz Brane-World Black Holes
• FRW cosmologies and hyperscaling-violating geometries: higher curvature corrections, ultrametricity, Q-space/QFT duality, and a little string theory
• Robustness of Sound Speed and Jet Quenching for Gauge/Gravity Models of Hot QCD
• Chern-Simons effect on the dual hydrodynamics in the Maxwell-Gauss-Bonnet gravity
• Some No-go Theorems for String Duals of Non-relativistic Lifshitz-like Theories
• Black holes with topological charges in Chern-Simons AdS${}_5$ supergravity
• Non-relativistic metrics from back-reacting fermions
• Spatially homogeneous Lifshitz black holes in five dimensional higher derivative gravity
• Holographic charge diffusion in non relativistic branes
• Gravity/Fluid Correspondence and Its Application on Bulk Gravity with $U(1)$ Gauge Field
• New modes from higher curvature corrections in holography
• Effects of high-order operators in non-relativistic Lifshitz holography
• Critical points of WAdS/CFT and higher-curvature gravity
• Spread of Entanglement in Non-Relativistic Theories
• Exploring Lovelock theory moduli space for Schroedinger solutions